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Finding the Fourth Proportional to 7,971.61, 11,951.61 and 3,753.40

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Solution

The fourth proportional to 7,971.61, 11,951.61 and 3,753.40 is: 5,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.61 : 11,951.61 = 3,753.40 : x
  2. Step 2: Convert to fraction form
    7,971.61/11,951.61 = 3,753.40/x
  3. Step 3: Cross multiply
    7,971.61x = 11,951.61 × 3,753.40
  4. Step 4: Simplify right side
    7,971.61x = 44,859,172.97
  5. Step 5: Solve for x
    x = 44,859,172.97/7,971.61
  6. Step 6: Final answer
    x = 5,627.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.